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Finding the Third Proportional to 582,824 and 886,328

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Solution

The third proportional to 582,824 and 886,328 is: 1,347,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,824 : 886,328 = 886,328 : x
  2. Step 2: Convert to fraction form
    582,824/886,328 = 886,328/x
  3. Step 3: Cross multiply
    582,824x = 886,328 × 886,328
  4. Step 4: Simplify right side
    582,824x = 785,577,323,584
  5. Step 5: Solve for x
    x = 785,577,323,584/582,824
  6. Step 6: Final answer
    x = 1,347,880.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.